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3 years ago

What is 1 1/3 x 2/3 in the simplest form?

Mathematics

2 answers:

wlad13 [49]3 years ago

6 0

Answer:8/9

Step-by-step explanation:4/3 * 2/3=8/9

77julia77 [94]3 years ago

3 0

Answer:

the answer is 8/6

Step-by-step explanation:

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Someone plz help me with these 2 problems! thank you

kompoz [17]

I am pretty sure the answer for the first one is x=-.498

4 0

3 years ago

The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder

cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V= $\pi r^2h$ , where r is the radius of cylinder, h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

$1600=\pi r^2(16).$

Dividing both sides by 16, we get

$\frac{1600}{16}=\frac{\pi r^2 (16)}{16}$

$r^2=100$

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

$\frac{x}{10}=\frac{4}{16}$

$\frac{x}{10}=\frac{1}{4}$

Multiplying both sides by 10, we get

$10 \times \frac{x}{10}=10 \times\frac{1}{4}$

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get

$V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.$

Therefore, correct option is 25 pi cm^3.

8 0

3 years ago

A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the

lilavasa [31]

The following is the most appropriate method for investigating the sociologist’s belief is,

A. A one-sample zz-test for a difference in population proportions

Step-by-step explanation:

The young adults in a county get their news from online sources are 75 percent.

But according to sociologist the percentage is actually greater than 75 percent.
The correct answer is A one-sample zz-test for a difference in population proportions.
The One proportion Z-test is used to compare proportion which is observed to a theoretical one, only when there are only two categories.
A z-test is a statistical test which is used to determine whether there are two population which means there are different when the variances are known and the sample size is relatively large.